On thermoelastic bodies with inner structure and microtemperatures

Abstract

In the first part of this paper we present a linear theory of thermoelastic bodies\ud with microstructure and microtemperatures which permits the transmission of heat as\ud thermal waves at finite speed. The theory is based on the entropy balance postulated\ud by Green and Naghdi [A.E. Green, P.M. Naghdi, A re-examination of the basic postulates\ud of thermomechanics, Proc. R. Soc. London A 432 (1991) 171–194]. We consider bodies\ud with microstructure whose microelements can stretch and contract independently of their\ud translations. Then we establish existence and uniqueness results in the context of the\ud dynamic theory.Peer ReviewedPostprint (published version

Response of Thermoelastic Micropolar Cubic Crystal under Dynamic Load at an Interface

“…Aouadi [31] discussed some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures. Quintanilla [32] discussed thermoelastic bodies with inner structure and microtemperatures. Scalia et al [33] studied basic theorems in the equilibrium theory of thermoelasticity with microtemperatures.…”

Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation

“…Moreover, the heat flux vector is determined by the same potential function that determines the stress. The Green-Naghdi theory has been studied in various papers (see, e.g., Chandrasekharaiah 1998;Hetnarski and Ignazack 1999;Quintanilla andStraughan 2000, 2004;Quintanilla 2003;Puri and Jordan 2004;Ieşan and Quintanilla 2009;Bargmann 2012 and references therein). The gradient theories of thermomechanics have been studied in various papers (see, e.g., Ahmadi and Firoozbakhsh, 1975;Ieşan, 1983Ieşan, , 2004Ieşan and Quintanilla, 1992;Ciarletta and Ieşan, 1993;Martinez and Quintanilla, 1998;Forest et al, 2000Forest et al, , 2002Forest and Amestoy, 2008;Forest and Aifantis, 2010).…”

On a Theory of Thermoelastic Materials with a Double Porosity Structure

“…The linear theory of elastic materials with voids has been established by Cowin and Nunziato [15]. The theory of elastic materials with voids has been extensively studied (see, e.g., [16][17][18][19][20][21][22][23][24][25][26] and references therein). In this paper we use the NunziatoCowin theory of materials with voids to derive a theory of thermoelastic solids which have a double porosity structure.…”